Multi-Dimensional Bounds on Time-of-Arrival Statistics in Random Scattering Channels

Authors:
Khoa N. Le
Affiliations:
School of Engineering, Building XB, College of Health and Science, University of Western Sydney, Penrith South DC, Australia 1797
Venue:
Wireless Personal Communications: An International Journal
Year:
2011

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Abstract

Bounds on Gaussian and hyperbolic time-of-arrival (ToA) probability density functions (pdfs) in multi-path mobile environments are derived. The bounds are expressed as functions of the coverage distance D between a base station (BS) and a user equipment (UE), and the propagation time ratio 驴 n = 驴/驴 0 where 驴 is the general time delay and 驴 0 is the nominal time delay between the BS and the UE via the direct line-of-sight path. Detailed discussions on the variation of the ToA pdfs in 1-D and 3-D are given which are useful for system modelling in mobile environments.